Answer:
(a) The probability of an adult using non-prescription antidepressants given that he visited the therapist is 0.78.
(b) The probability of an adult visited the therapist given that he was using non-prescription antidepressants is 0.46.
Step-by-step explanation:
Conditional probability of an event <em>X</em> given that another event <em>Y</em> has already occurred is:

Let <em>A</em> = an adult visited the therapist and <em>B</em> = an used non-prescription antidepressants.
Given:
P (A) = 0.27
P (B) = 0.46
P (A ∩ B) = 0.21
(a)
Compute the probability that a randomly selected adult who visited a therapist during the past year also used non-prescription antidepressants as follows:

Thus, the probability of an adult using non-prescription antidepressants given that he visited the therapist is 0.78.
(b)
Compute the probability that a randomly selected adult visited a therapist during the past year, given that he or she used non-prescription antidepressants as follows:

Thus, the probability of an adult visited the therapist given that he was using non-prescription antidepressants is 0.46.
If the diameter is 16 inches, then its radius is half that, r = 8.
Answer: yes.
Step-by-step explanation:
Answer:
Explanation:
We can factor the numerator and denominator as;
(
x
−
2
)
(
x
−
1
)
2
x
(
x
−
1
)
We can now cancel common term in the numerator and denominator:
(
x
−
2
)
(
x
−
1
)
2
x
(
x
−
1
)
⇒
x
−
2
2
x
However, we cannot divide by
0
so we must exclude:
2
x
=
0
⇒
x
=
0
and
x
−
1
=
0
⇒
x
1
x
2
−
3
x
+
2
2
x
2
−
2
x
=
x
−
2
2
x
Where:
x
≠
0
and
x
≠
1
Or
x
2
−
3
x
+
2
2
x
2
−
2
x
=
x
2
x
−
2
2
x
=
1
2
−
1
x
Where:
x
≠
0
and
x
≠
1
Step-by-step explanation: